We construct confluent supersymmetric partners of quantum systems that emerge from the spheroidal equation. Properties of the systems and of their transformed counterparts are discussed.

We define a set of operators which localize in both time and frequency. Tltese operators are similar to but different from the low-pass time-liting operators, the singular functions of which are the prolate spheroidal wave functions. Our construction differs from the usual ap proach in that we treat the time-frequency plane as one geometric whole (phase space) rather than as two separate spaces...

Nanotechnology is an emerging multidisciplinary field that has the potential to offer solutions pharmaceutical challenges starting from drug delivery therapeutic applications. The plant-mediated method eco-friendly and most inexpensive of various techniques used synthesize nanoparticles (NPs). In this study, silver (Ag) NPs have been successfully synthesized using leaf extract Catharanthus rose...

Both the eigenfunctions and the local density of states (DOS) near the pentagonal defects on the fullerenes was calculated analytically as a numerically. The results shows that the low-energy DOS has a cusp which drops to zero at the Fermi energy for any number of pentagons at the tip except three. For three pentagons, the nonzero DOS across the Fermi level is formed. Graphite is an example of ...

We present a database containing light scattering quantities of randomly oriented dielectric spheroidal particles in the resonance region. The database has been generated by using a thoroughly tested T-matrix method implementation. The data possess a defined accuracy so that they can be used as benchmarks for electromagnetic and light scattering computations of spheroids. Within its parameter r...

Oscillation modes of rapidly rotating stars have not yet been calculated with precision, rotational effects being generally approximated by perturbation methods. We are developing a numerical method able to account for the deformation of the star by the centrifugal force and, as a first step, we determined the acoustic modes of a uniform density spheroid and studied how the spheroid flatness af...

Three-dimensional numerical simulations of compressible turbulent thermally driven convection, in both slab and spheroidal geometries, are reviewed and analyzed in terms of velocity spectra and mixing length theory. The same ideal gas model is used in both geometries, and resulting ows are compared. The Piecewise-Parabolic Method (PPM), with either thermal conductivity or photospheric boundary ...

The National Elevation, Hydrography and Land Cover datasets of the United States have been synthesized into a geospatial dataset called NHDPlus which is referenced to a spheroidal Earth, provides geospatial data layers for topography on 30 m rasters, and has vector coverages for catchments and river reaches. In this article, we examine the integration of NHDPlus with the Noah-distributed model....